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The Fractal Geometry of Nature

Free Download The Fractal Geometry of Nature

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Amazon.com Review

Imagine an equilateral triangle. Now, imagine smaller equilateral triangles perched in the center of each side of the original triangle--you have a Star of David. Now, place still smaller equilateral triangles in the center of each of the star's 12 sides. Repeat this process infinitely and you have a Koch snowflake, a mind-bending geometric figure with an infinitely large perimeter, yet with a finite area. This is an example of the kind of mathematical puzzles that this book addresses. The Fractal Geometry of Nature is a mathematics text. But buried in the deltas and lambdas and integrals, even a layperson can pick out and appreciate Mandelbrot's point: that somewhere in mathematics, there is an explanation for nature. It is not a coincidence that fractal math is so good at generating images of cliffs and shorelines and capillary beds.

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“A rarity: a picture book of sophisticated contemporary research ideas in mathematics.” ―Douglas Hofstadter, author of Godel, Escher, Bach

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Product details

Hardcover: 468 pages

Publisher: Times Books; 2nd prt. edition (1982)

Language: English

ISBN-10: 0716711869

ISBN-13: 978-0716711865

Product Dimensions:

8.3 x 1.4 x 9.3 inches

Shipping Weight: 2.3 pounds

Average Customer Review:

4.4 out of 5 stars

57 customer reviews

Amazon Best Sellers Rank:

#73,813 in Books (See Top 100 in Books)

Bought mine used and it was signed by the author and contained what appears to be separate notes and letters on THINK letter heads from the same talking about his research at IBM. Very interesting stuff.

As a child, I remember hearing, "God is a mathematician." This proves it! Mathematics is for human invention, while Fractal is the mathematics of nature!

The magnum opus of a true genius. Within this book lies the legacy of a profound academic and perhaps the most rigorous and complete analysis of fractal geometries that has ever been created. It is a balanced look at fractal geometries that fills a niche for all levels of expertise. As a mathematical novice you can enjoy the pictures and narrative and as a master there is a trove of insight. If you are interested in how fractals are rife throughout nature and how these various geometries can be explained using Benoit's mathematics, this is the book for you.

I entered fractals for the first time in the early 90s after a had read about them in a fantastic book called Excursions in Modern Mathematics.I coded and created the Sirpinsky thereafter and have been hooked on the topic since.I bought this book to undestand what the discoverer of fractals thought and have not been dissapointed. I am enjoying every page of it.Buy it!

I had this book before. Benoit Mandelbrot was not a native English speaker, so you can expect it is not the best writing. I purchased this book for the historical value.

Of course I love this book; I read it for the first time when I was just a young teen; now upon re-reading it, I realize how difficult so much of the mathematical material is. Of course, Mandelbrot wrote it and labeled it as an 'essay', thus intended for a wide variety of disciplines and backgrounds in order to reach a maximum audience, but his coining it as targeted for a 'broad' audience may have been referring to 'peers in similar fields' because despite all the math I took in college, much of the digressions in this book are lost on me. Still, so much of the content is accessible immediately through the written content and the visuals are unmistakably striking, especially for such old computer graphic technology. I would recommend this for anyone interested in the studies of fractal geometry, chaos theory, and turbulent dynamics.

For the general public, this book helped set in motion the concepts of, and the potential to understand natures' geometry. this book also gives the ground work for the potential fin art and illustration more reflective of the geometry of nature - and a new tool for the arts. The graphics are still inspiring. A must for anyone intetrested in the Mandelbrot set, fractal geometry and the forms that evolve from chaotic dynamics.

This is a great book for someone looking to discover what all the hullabaloo is about fractals. It provides a wonderful insight into the mind of one of the great mathematical geniuses of our time, Benoit Mandelbrot. I think some people will find his writing style a bit too stodgy, almost arithmetical, but I find it interesting. I especially appreciate how marks off when he's going to be tangential with special brackets. Mandelbrot doesn't delve into too many rigorous mathematical proofs of the various topics he discusses. He broaches each subject in such a way that should be accessible to people from a wide array of sciences and disciplines. I don't recommend this book if you're trying to figure out how to create simple fractal programs. But I enthusiastically recommend it if you want to learn more about fractals, discover a new way to think about and understand nature, or are simply looking for a good bit of erudition.

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